As you know, I’ve been doing research in information theory, and some of my recent work has some superficial connections to the Zeta function, since I was making use of logarithms of complex numbers.

I noticed the following graph:

In short, we’d be looking at the Zeta function using values of s produced by powers of the logarithm function:

There appears to be several zeros for n = 6.

You can see it yourself on wolfram using the following link:

But, I don’t know enough about this topic to be sure that this is actually interesting, since I know that at least some of the zeros of this function are considered “trivial”.

Nonetheless, I thought I’d share this in case some of you found it interesting and had insights.

Regards,

Charles